水平电偶极子在三层媒质中激发的电磁场特征的数值研究

将空气及地面以下两层视为三层有耗散的线性媒质 ,求出第三层中的水平偶极子激发的电磁场在地表处的积分形式解 ,进行数值计算 ,分析其频谱特征。结果表明电磁辐射异常的优势频率为 0～ 2Hz,与实际观测资料相吻合 ,在超低频或甚低频 ,有比较明显的电磁场异常。并讨论其对地震电磁辐射监测的指导意义。

麦克斯韦积分方程的一种数值解法

直接从麦克斯韦积分方程出发,采用FIT算法,模拟电磁场的分布情况.

一种新的简化行波边界条件在FDTD算法中的实现

本文提出一种新的边界条件。这种边界条件在边界处强加理想导体对计算场区进行截断 ,而将由此产生的反射场分离去除 ,从而减小反射所产生的干扰。与 PML边界条件相比 ,由于它不需要吸收层 ,不需要 PML层中人为的场量分解 ,因此节约了内存 ,提高了计算速度。文中给出一维、二维空间的计算实例 。

考虑衬底涡旋电流的CMOS射频电路电感元件的快速提取算法及实现

本文描述了一个采用复镜像方法来解析计算CMOS射频电路中衬底涡旋电流对螺旋电感元件的影响.其基本思路是将衬底里分布着的涡旋电流等效为电感金属绕组的一个镜像,但是这个镜像所处的位置是一个复数.通过把计算出的部分电感和部分电容矩阵组装成一个PEEC(部分元件等效电路)的办法,能够进一步算出螺旋电感的交流小信号参数.基于该算法实现的程序(称为SCAPE)的正确性已经通过大量的例子测试,并跟一些广泛使用的软件(如UC Berkeley的ASITIC和Agilent的ADS M om entum)进行了比较,结果证明了SCAPE具有精度高、运算速度快的优势.

The possible implications of magnetic field effect on understanding the reactant of water splitting

Electrochemical water splitting consists of two elementary reactions i.e.,hydrogen evolution reaction(HER)and oxygen evolution reaction(OER).Developing robust HER and OER technologies necessitates a molecular picture of reaction mechanism,yet the reactants for water splitting reactions are unfortunately not fully understood.Here we utilize magnetic field to understand proton transport in HER,and hydroxide ion transport in OER,to discuss the possible implications on understanding the reactants for HER and OER.Magnetic field is a known tool for changing the movement of charged species like ions,e.g.the magnetic‐field‐improved Cu^(2+)transportation near the electrode in Cu electrodeposition.However,applying a magnetic field does not affect the HER or OER rate across various pH,which challenges the traditional opinion that charged species(i.e.proton and hydroxide ion)act as the reactant.This anomalous response of HER and OER to magnetic field,and the fact that the transport of proton and hydroxide ion follow Grotthuss mechanism,collectively indicate water may act as the universal reactant for HER and OER across various pH.With the aid of magnetic field,this work serves as an understanding of water might be the reactant in HER and OER,and possibly in other electrocatalysis reactions involving protonation and deprotonation step.A model that simply focuses on the charged species but overlooking the complexity of the whole electrolyte phase where water is the dominant species,may not reasonably reflect the electrochemistry of HER and OER in aqueous electrolyte.

DC casting of light alloys under magnetic fields

The working principle of LFEC（Low frequency electromagnetic casting） process developed in Northeastern University, China was introduced and the metallurgical results of LFEC were discussed according to the casting practices. The low frequency field around the mold produces Lorenz force, which can be divided into two parts： one is the potential force which will be balanced by a pressure gradient of the liquid and results in the formation of a convex surface meniscus and improves the surface quality; the other is the rotary force which stirs the liquid in the mold to refine the microstructures and homogenize the distribution of alloying elements. LFEC can refine microstructures remarkably, improve surface quality of the ingots, depress macrosegregation and eliminate cracks. Some new technologies, such as horizontal direct chill casting under low-frequency electromagnetic field （HLEC）, DC casting of hollow billets under electromagnetic fields （HBEC）, electromagnetic modifying of hypereutectic A1-Si alloys（EMM）, air film casting under static magnetic field （AFCM）, and multi-ingots casting under low-frequency magnetic field （MLFEC） were developed based on LFEC.

Analytical Solutions of Electromagnetic Fields from Current Dipole Moment on Spherical Conductor in a Low-Frequency Approximation

We analytically derive the solutions for electromagnetic fields of electric current dipole moment, which is placed in the exterior of the spherical homogeneous conductor, and is pointed along the radial direction. The dipole moment is driven in the low frequency f = 1 kHz and high frequency f = 1 GHz regimes. The electrical properties of the conductor are appropriately chosen in each frequency. Electromagnetic fields are rigorously formulated at an arbitrary point in a spherical geometry, in which the magnetic vector potential is straightforwardly given by the Biot- Savart formula, and the scalar potential is expanded with the Legendre polynomials, taking into account the appropriate boundary conditions at the spherical surface of the conductor. The induced electric fields are numerically calculated along the several paths in the low and high frequeny excitation. The self-consistent solutions obtained in this work will be of much importance in a wide region of electromagnetic induction problems.

Exact Solution of Klein-Gordon Equation for Charged Particle in Magnetic Field with Shape Invariant Method

Based on the shape invariance property we obtain exact solutions of the three-dimensional relativistic Klein Gordon equation for a charged particle moving in the presence of a certain varying magnetic field, and we also show its non-relativistic limit.

Analytical Solution of Helmholtz Equation in Anisotropic and Nonhomogeneous Region

The analytical solution of Helmholtz equation for magnetic vector potential in anisotropic and nonhomogeneous region is presented. The solution is built of a combination of both Bessel and power functions. There are developed two examples that proof the accuracy of the proposed analytical solution. First example is showing the electromagnetic field analysis in slot of ferromagnetic rotor of electrical induction machine. The second example approaches electromagnetic field wave in resonator of the form of rectangular cavity The analytical solution presented is treated as an exact one and is being compared with the numerical solution, e.g., given by finite element method. The analytical solution can be used as a benchmark test for numerical algorithms,

Fermionic Particle Production by Varying Electric and Magnetic Fields

Creation of fermionic particles by a time-dependent electric field and a space-dependent magnetic field is studied with the Bogoulibov transformation method. Exact analytic solutions of the Dirac equation are obtained in terms of the Whittaker functions and the particle creation number density depending on the electric and magnetic fields is determined.